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Finding the Fourth Proportional to 542.92, 748.50 and 387.40

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Solution

The fourth proportional to 542.92, 748.50 and 387.40 is: 534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    542.92 : 748.50 = 387.40 : x
  2. Step 2: Convert to fraction form
    542.92/748.50 = 387.40/x
  3. Step 3: Cross multiply
    542.92x = 748.50 × 387.40
  4. Step 4: Simplify right side
    542.92x = 289,968.90
  5. Step 5: Solve for x
    x = 289,968.90/542.92
  6. Step 6: Final answer
    x = 534.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.